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In recent years, the success of the Koopman operator in dynamical systems analysis has also fueled the development of Koopman operator-based control frameworks. In order to preserve the relatively low data requirements for an approximation…

Optimization and Control · Mathematics 2020-10-15 Sebastian Peitz , Samuel E. Otto , Clarence W. Rowley

We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of nonlinear dynamical systems. Moreover, Koopman is intimately…

Optimization and Control · Mathematics 2016-02-25 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

As wind power penetration increases, the wind farms are required by newly released grid codes to provide frequency regulation service. The most critical challenge is how to formulate the dynamic model of wind farm for dynamic control, since…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Zizhen Guo , Wenchuan Wu

Recently, subsynchronous oscillations (SSOs) have emerged frequently worldwide, with the high penetration of renewable power generation in modern power systems. The SSO introduced by renewables has become a prominent new stability problem,…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Zihan Wang , Ziyang Huang , Xiaonan Zhang , Gengyin Li , Le Zheng

In order to deal with issues caused by the increasing penetration of renewable resources in power systems, this paper proposes a novel distributed frequency control algorithm for each generating unit and controllable load in a transmission…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Luwei Yang , Tao Liu , Zhiyuan Tang , David J. Hill

Model uncertainty of inverter-based resources (IBRs) presents significant challenges for power system control and stability. This work studies secondary frequency regulation in inverter-based power systems using a Data-driven Koopman…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Sohrab Rezaei , Xiaomo Wang , Sijia Geng

Hybrid AC/DC microgrids with distributed energy storage (DS) improve power reliability in remote areas. Existing power management methods either focus on steady-state power sharing or transient inertia support, but rarely combine both. They…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Qingzuo Meng , Pengfeng Lin , Yujie Wang , Miao Zhu , Amer M. Ghias , Syed Islam , Frede Blaabjerg

This paper addresses frequency regulation under operational constraints in interconnected power systems with high penetration of inverter-based renewable generation. A two-layer control architecture is proposed that combines optimized droop…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jose A. Solano-Castellanos , Hassan Haes Alhelou , Ali T. Al- Awami , Mohannad Alkhraijah , Anuradha M. Annaswamy

Within this work, we investigate how data-driven numerical approximation methods of the Koopman operator can be used in practical control engineering applications. We refer to the method Extended Dynamic Mode Decomposition (EDMD), which…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Annika Junker , Julia Timmermann , Ansgar Trächtler

This paper presents a modeling-control synthesis to address the quality control challenges in multistage manufacturing systems (MMSs). A new feedforward control scheme is developed to minimize the quality variations caused by process…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Zhiyi Chen , Harshal Maske , Devesh Upadhyay , Huanyi Shui , Xun Huan , Jun Ni

Koopman Mode Decomposition (KMD) is a technique of nonlinear time-series analysis that originates from point spectrum of the Koopman operator defined for an underlying nonlinear dynamical system. We present a numerical algorithm of KMD…

Signal Processing · Electrical Eng. & Systems 2019-11-18 Akitoshi Masuda , Yoshihiko Susuki , Manel Martínez-Ramón , Andrea Mammoli , Atsushi Ishigame

This paper presents a distributed data-driven control to regulate the voltage in an alternate current microgrid (MG). Following the hierarchical control frame for MGs, a secondary control for voltage is designed with a data-driven strategy…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Vladimir Toroa , Duvan Tellez-Castro , Eduardo Mojica-Nava , Naly Rakoto-Ravalontsalama

This paper proposes Koopman operator theory and the related algorithm dynamical mode decomposition (DMD) for analysis and control of signalized traffic flow networks. DMD provides a model-free approach for representing complex oscillatory…

Dynamical Systems · Mathematics 2019-03-01 Esther Ling , Liyuan Zheng , Lillian J. Ratliff , Samuel Coogan

Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman…

Systems and Control · Computer Science 2018-05-08 Yoshihiko Susuki , Igor Mezic , Fredrik Raak , Takashi Hikihara

The displacement of synchronous generators by converter-interfaced renewable energy sources obliges wind farms to provide inertia, damping, and voltage support, above all in increasingly weak grid conditions. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Javier Garcia-Aguilar , Aurelio Garcia-Cerrada , Juan L. Zamora , Emilio Bueno , Elena Saiz , Almudena Muñoz-Babiano , Mohammad E. Zarei

Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven approaches offer a promising alternative by designing…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Robin Strässer , Karl Worthmann , Igor Mezić , Julian Berberich , Manuel Schaller , Frank Allgöwer

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Yue Wu

In this paper, we further develop a recently proposed control method to switch a bistable system between its steady states using temporal pulses. The motivation for using pulses comes from biomedical and biological applications (e.g.…

Systems and Control · Computer Science 2016-05-26 Aivar Sootla , Alexandre Mauroy , Jorge Goncalves

The analysis of nonlinear dynamical systems based on the Koopman operator is attracting attention in various applications. Dynamic mode decomposition (DMD) is a data-driven algorithm for Koopman spectral analysis, and several variants with…

Dynamical Systems · Mathematics 2017-10-31 Naoya Takeishi , Yoshinobu Kawahara , Takehisa Yairi

In this project we evaluate a framework for synchronization of mixed machine-converter power grids. Synchronous machines are assumed to be actuated by mechanical torque injections, while the converters by DC-side current injections. As this…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Aidar Zhetessov
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